Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions

Details Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions

1997-11-04

arxiv.org/abs/hep-th/9711016v1

Phys.Rev. D57 (1998) 5230-5235

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, RevTeX

Scientific paper

10.1103/PhysRevD.57.5230

We investigate the effect of a constant external non-Abelian field on chiral symmetry breaking in a (2+1)-dimensional Nambu-Jona-Lasinio model and in 3D QCD by solving the gap equation and the Bethe-Salpeter equation, and also by RG analysis. In the (2+1)-dimensional NJL model chiral symmetry breaking occurs for any weak coupling constant but in 3D QCD catalysis of chiral symmetry breaking does not occur.

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